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Finding the Fourth Proportional to 136,106.38, 187,825.80 and 75,676.54

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Solution

The fourth proportional to 136,106.38, 187,825.80 and 75,676.54 is: 104,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,106.38 : 187,825.80 = 75,676.54 : x
  2. Step 2: Convert to fraction form
    136,106.38/187,825.80 = 75,676.54/x
  3. Step 3: Cross multiply
    136,106.38x = 187,825.80 × 75,676.54
  4. Step 4: Simplify right side
    136,106.38x = 14,214,006,666.73
  5. Step 5: Solve for x
    x = 14,214,006,666.73/136,106.38
  6. Step 6: Final answer
    x = 104,433.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.